471872480 has 96 divisors (see below), whose sum is σ = 1149603840. Its totient is φ = 182940160.

The previous prime is 471872477. The next prime is 471872521. The reversal of 471872480 is 84278174.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984881 + ... + 985359.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2^471872480 is an apocalyptic number.

471872480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

471872480 is an abundant number, since it is smaller than the sum of its proper divisors (677731360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

471872480 is a wasteful number, since it uses less digits than its factorization.

471872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 41.

The square root of 471872480 is about 21722.6259922690. The cubic root of 471872480 is about 778.5291589350.

The spelling of 471872480 in words is "four hundred seventy-one million, eight hundred seventy-two thousand, four hundred eighty".